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Finding the Fourth Proportional to 327.69, 452.27 and 208.08

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Solution

The fourth proportional to 327.69, 452.27 and 208.08 is: 287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.69 : 452.27 = 208.08 : x
  2. Step 2: Convert to fraction form
    327.69/452.27 = 208.08/x
  3. Step 3: Cross multiply
    327.69x = 452.27 × 208.08
  4. Step 4: Simplify right side
    327.69x = 94,108.34
  5. Step 5: Solve for x
    x = 94,108.34/327.69
  6. Step 6: Final answer
    x = 287.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.